30 25 20 15 10 -6 -5 -3 -2 1 0 -5 1. 3 4. -10 -15 -20 Find x when f' (a) g' (x) (Note: there is only 1 solution.) 2.

Q: Find f''(x). f(x) = V (x² + 1) 5 %3D f"(x)=|

A: topic - derivative of a function

Q: 1. 2. rning Find first derivative and second derivative of dependent variable a.y=x²+x+8 b. y=-x²+3…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 12. f (x) = 3x − 1 \frac{f(x)-f(1)}{x-1}

A: fx=3x-1

Q: 1.7 If f(x) = 4x + 9 and g(x) = 3x – 1, find f(g(x)). a. 12x + 13 b. 12x +8 С. 12x +5 d. 12x + 26

A:

Q: Q4 For the functions f(x) = 7x + 4, h(x) = 10 --3 and g(x) 3x- 2 %3D (a) Evaluate (i) g(4) (ii)…

A:

Q: h(x)= Find f(x) such that h(x) = (fog)(x) and g(x)= 10 1-x' f(x) = 10 1-x¹0 10 4 1+x

A: We can solve this as follows:

Q: If f(x)=x³x²-3, on the closed interval [-2,5]? 5. then what is the minimum value function firat…

A: Given: fx=13x3-12x2-253, x∈-2,5 Use the Power law: ddxxn=nxn-1   For maximum and minimum values,…

Q: 4 - Let y = f(x) = (a) Find f-'(y). (b) Solve the equations f(x) = a for a = –1,0, 0.5, 2, 3.7, T,…

A:

Q: 7x² + 3x + 3 If f(x) = then: f'(x) =| f'(3) =

A: Given function fx=7x2+3x+3x To find the derivative of given function Quotient rule is used For any…

Q: 1.) f(x) = x² + 2x g(x) = 2x - 3 Find (g - N(x) 2.) f(x) = 2x' + 4x + 2x + 1 9(x) = x' - x + 7x + 9…

A: Explanation of the answer is as follows

Q: Find the first and second derivatives of f(x). Simplify your answer using positive fractional…

A: The given function is

Q: 3. 5. 17. (f+g) (x) (f-g) (x) (fg) (x) If f(x) = 4x² + 3x -1 and g(x) = -8x + 5, find: (f+g) (-1)…

A: Since you have posted question with multiple parts. As per guidelines, we are supposed to answer…

Q: x - 6 Let F(x) = | (3- Vi+6) dt. Use F(x) in parts (a)-(d). ..... (a) Find F'(x). F'(x) = (b) Find…

A:

Q: Find f''(x). f(x) = (x² + 1) * %3D f"(x)=

A: We have to solve

Q: 7. Given f(x) x + 1 write an equation for the inverse 3' function.

A: The steps to calculate the inverse is given below: Replace f(x) by y. Now replace x with y and…

Q: 6. The solution of the equation 3(1 + 401) mately) (a) None. (b) 69.3 (c) 0.693 (d) 6.93 = 27 is…

A: 6. Given:3(1+4e0.1x)=27Solving for x, we have:33(1+4e0.1x)​=327​1+4e0.1x=94e0.1x=9−14e0.1x=8Dividing…

Q: 19 Let ƒ(x) = (19√x – 18) (2³ – 18) (2³ - 2 +23) - X Then the rate of change of the function at x =…

A: The given function is

Q: 7 Find f(x) if f'(x)= and f(1) = 4. O A. f(x) = -28x-5 +32 -5-3 O B. f(x) = -28x 7 3 O C. f(x) = OD.…

A:

Q: 16. Let f(x) = 5x¹ and g(x) = e²z+x. If h is the function defined by h(x) = f(g(x)), which of gives…

A:

Q: 33. Find [g of ]x when f(x) = 2x + 4 and g(x)=x²-3x + 2. a. 4x² + 10x + 6. b. 2x² - 6x +8 c4x² + 13x…

A:

Q: 7. (a) f(x) < 0 X= -1 X = 1 (b) f(x) 2 0 41 y. 3 y = 0 -3 3- -3

A: Graph of the function is given we have to finda) f(x)&lt;0b) f(x)≥0

Q: 2 is equal to y"-)?+ If y" +2a(x)y = -a'(x)y then the expression O 2a(x) O 4a(x) O 4a(x) – 2a'(x) O…

A: Detailed explanation mentioned below

Q: 6. If f(x)=3x' -+ 4 + 4x +1, find f(x) and f"(x).

A: Given query is to find the Indicated derivative.

Q: 7 If f(x) = 2 + find f'(x). x2 - Find f'(4).

A: ddxxn = nxn-1

Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

A:

Q: Q1 Suppose g(2) = 3 and g'(2) = = -2. then find the following. 1) If f(x) = (x² + 3)g(x) + g(2) find…

A:

Q: Suppose f(x) and f'(x) have the values shov 33 34 35 36 37 f(x) f'(x) 9 17 5 4 15 3 -4 -3 -5 -2 1…

A: We will find the value of the function.

Q: 2. Suppose that f(x) is an unknown function, but we know that g(x) = (x² + 5)(f(x))². (a) Find…

A: Using product rule of derivatives.

Q: 17. Solve the equation x-3x' + 3x +x-6 0

A: We have to find the solution

Q: 1 V. Given f(x)= 2x –x, g(x)= x² +2 and h(x) = x +2 Find 5. (g+h)(x) 6. (h-f)(1) 10. g(h(x)) 13.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find f'(x). f(x) = (x² + 1) * f"(x) = %3D

A: Find f''(x)

Q: order to express the function y=(2t^4−8)^5 as a composition of two functions the outer of which is a…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…